

__lowercase     : dict[tuple[int, int, int], int]       =						{}







def       lowercase					(	__A :					int ,    __A :					int ,    __A :					int		)				->			int:





    '''simple docstring'''




    if late == 3 or absent == 2:
        return 0

    # if we have no days left, and have not failed any other rules,
    # we have a prize string
    if days == 0:
        return 1

    # No easy solution, so now we need to do the recursive calculation

    # First, check if the combination is already in the cache, and
    # if yes, return the stored value from there since we already
    # know the number of possible prize strings from this point on
    snake_case							:		Optional[Any]        =		(days, absent, late)
    if key in cache:
        return cache[key]

    # now we calculate the three possible ways that can unfold from
    # this point on, depending on our attendance today

    # 1) if we are late (but not absent), the "absent" counter stays as
    # it is, but the "late" counter increases by one
    snake_case							:		Union[str, Any]        =		_calculate(days - 1 ,    __A ,    late + 1		)

    # 2) if we are absent, the "absent" counter increases by 1, and the
    # "late" counter resets to 0
    snake_case							:		str        =		_calculate(days - 1 ,    absent + 1 ,    0		)

    # 3) if we are on time, this resets the "late" counter and keeps the
    # absent counter
    snake_case							:		List[str]        =		_calculate(days - 1 ,    __A ,    0		)

    snake_case							:		List[str]        =		state_late + state_absent + state_ontime

    snake_case							:		List[Any]        =		prizestrings
    return prizestrings







def       lowercase					(	__A :					int = 30		)				->			int:





    '''simple docstring'''




    return _calculate(__A ,    absent=0 ,    late=0		)


if __name__ == "__main__":
     print(solution())





# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__lowerCAmelCase     :	Tuple       			=  {'configuration_timm_backbone': ['TimmBackboneConfig']}


try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    __lowerCAmelCase     :	str       			=  ['TimmBackbone']


if TYPE_CHECKING:
    from .configuration_timm_backbone import TimmBackboneConfig

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_timm_backbone import TimmBackbone

else:
    import sys

    __lowerCAmelCase     :	str       			=  _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)

